Finding the Third Proportional to 195,858 and 293,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,858 : 293,044.50 = 293,044.50 : x
2. Step 2: Convert to fraction form
   195,858/293,044.50 = 293,044.50/x
3. Step 3: Cross multiply
   195,858x = 293,044.50 × 293,044.50
4. Step 4: Simplify right side
   195,858x = 85,875,078,980.25
5. Step 5: Solve for x
   x = 85,875,078,980.25/195,858
6. Step 6: Final answer
   x = 438,455.81